put sth on the back burner

to put sth on the back burner (If you put sth on the back burner, you are not dealing with it at present, but it has not been completely forgotten and can be taken care of later) — отложить в долгий ящик, на неопределенный срок

When she got married her career was put on the back burner / she put her career on the back burner (Когда она вышла замуж, ей надолго пришлось отложить мысли о карьере).

Related vocabulary
[отложить в долгий ящик]

On the back burner ~ на заднем плане, во вторую очередь, в фоновом режиме

Story from BBC NEWS:
ON THE BACK BURNER

There are a number of proposals in Mr Obama's in-tray for which he professes support, but which could jeopardise the rest of his agenda. The EFCA is just one of these.

In Bill Clinton's case, a bid to overturn the ban on gay people in the armed forces weakened his ability to deliver healthcare reform. So it's likely that Mr Obama will move cautiously on federal laws allowing civil unions for same-sex couples, and steps to replace Clinton's compromise on gays in the military (known as "Don't Ask, Don't Tell").

Another example is immigration reform. Like George Bush, Mr Obama wants to create paths to citizenship for existing illegal immigrants, while strengthening border security. Mr Bush's failure may make him think twice.

If Mr Obama is able to get some early legislative wins under his belt, however, then federally-recognised civil unions for same-sex couples and immigration reform could well be on his agenda before too long. (news.bbc.co.uk)

Opp.:
at the top of the agenda
high on the agenda

(= most/very important) -- первостепенной важности, быть актуальным, животрепещущим

For the government, education is now at the top of the agenda. (OALD)
In our company, quality is high on the agenda.
(OALD)